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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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2.1 Introduction<br />

Review of Circuit <strong>The</strong>ory<br />

Ron Manc<strong>in</strong>i<br />

Although this book m<strong>in</strong>imizes math, some algebra is germane to <strong>the</strong> understand<strong>in</strong>g of<br />

analog electronics. Math and physics are presented here <strong>in</strong> <strong>the</strong> manner <strong>in</strong> which <strong>the</strong>y are<br />

used later, so no practice exercises are given. For example, after <strong>the</strong> voltage divider rule<br />

is expla<strong>in</strong>ed, it is used several times <strong>in</strong> <strong>the</strong> development of o<strong>the</strong>r concepts, and this usage<br />

constitutes practice.<br />

Circuits are a mix of passive and active components. <strong>The</strong> components are arranged <strong>in</strong><br />

a manner that enables <strong>the</strong>m to perform some desired function. <strong>The</strong> result<strong>in</strong>g arrangement<br />

of components is called a circuit or sometimes a circuit configuration. <strong>The</strong> art portion of<br />

analog design is develop<strong>in</strong>g <strong>the</strong> circuit configuration. <strong>The</strong>re are many published circuit<br />

configurations for almost any circuit task, thus all circuit designers need not be artists.<br />

When <strong>the</strong> design has progressed to <strong>the</strong> po<strong>in</strong>t that a circuit exists, equations must be written<br />

to predict and analyze circuit performance. Textbooks are filled with rigorous methods<br />

for equation writ<strong>in</strong>g, and this review of circuit <strong>the</strong>ory does not supplant those textbooks.<br />

But, a few equations are used so often that <strong>the</strong>y should be memorized, and <strong>the</strong>se equations<br />

are considered here.<br />

<strong>The</strong>re are almost as many ways to analyze a circuit as <strong>the</strong>re are electronic eng<strong>in</strong>eers, and<br />

if <strong>the</strong> equations are written correctly, all methods yield <strong>the</strong> same answer. <strong>The</strong>re are some<br />

simple ways to analyze <strong>the</strong> circuit without complet<strong>in</strong>g unnecessary calculations, and<br />

<strong>the</strong>se methods are illustrated here.<br />

2.2 Laws of Physics<br />

<strong>Chapter</strong> 2<br />

Ohm’s law is stated as V=IR, and it is fundamental to all electronics. Ohm’s law can be<br />

applied to a s<strong>in</strong>gle component, to any group of components, or to a complete circuit. When<br />

<strong>the</strong> current flow<strong>in</strong>g through any portion of a circuit is known, <strong>the</strong> voltage dropped across<br />

that portion of <strong>the</strong> circuit is obta<strong>in</strong>ed by multiply<strong>in</strong>g <strong>the</strong> current times <strong>the</strong> resistance (Equation<br />

2–1).<br />

2-1

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